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Solve Fifth Degree Polynomial Equation: Use GCF & Difference of Two Squares
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The given fifth degree polynomial equation is 5x^5=405x^3. Initially 405x^3 is subtracted from both sides of the equation to obtain zero on the right hand side. The resulting polynomial is then solved by factoring out the greatest common factor followed by factoring the remaining binomial using the difference of 2 squares. Each factor is then set equal to zero and solved to obtain the solutions to the equation.
Timestamps
0:00 Introduction
0:40 Obtain Zero on RHS
1:30 Factor out GCF
3:00 Difference of 2 Squares
3:55 Set Each Factor = 0
Timestamps
0:00 Introduction
0:40 Obtain Zero on RHS
1:30 Factor out GCF
3:00 Difference of 2 Squares
3:55 Set Each Factor = 0